A fixed-point iteration is proposed to integrate the stress and state variables in the incremental analysis of plastic deformation. The Conventional Newton–Raphson method requires a second-order derivative of the yield function to generate a complicated code, and the convergence cannot be guaranteed beforehand. The proposed fixed-point iteration does not require a second-order derivative of the yield function, and convergence is ensured for a given strain increment. The fixed-point iteration is easier to implement, and the computational time is shortened compared with the Newton–Raphson method. The plane-stress condition is considered for the biaxial loading conditions to confirm the convergence of the fixed-point iteration. 3-dimensional tensile specimen is considered to compare the computational times in the ABAQUS/explicit finite element analysis.

When performing finite element analysis using materials with porosity the porosity shows different mechanical properties from the existing mechanical properties of the existing base materials. In this study the equivalent properties were calculated and verified by applying the representative volume element (RVE) method and assuming that the material with porosity is a 2D orthotropic material. In case of finite element analysis using porous material or composite material, it is inefficient to perform the analysis through material modeling. Based on the element volume and element stress values ​​derived using the finite element analysis program, the representative stress values ​​and elastic modulus matrix were calculated using Python. In addition, equivalent properties were derived using the calculated elastic modulus matrix. The pores were simulated by etching a thin plate specimen made of STS304 material in a certain pattern, and the elastic modulus and Poisson's ratio were measured through a UTM and compared with simulation results. It was confirmed that an error of 7.028% for elastic modulus and 10% for Poisson's ratio occurred, and through this, the validity of this simulation was verified.

A progressive failure analysis procedure for composite laminates is developed in here and in the companion paper. An anisotropic plastic constitutive model for fiber-reinforced composite material, is developed, which is simple and efficient to be implemented into computer program for a predictive analysis procedure of composites. In current development of the constitutive model, an incremental elastic-plastic constitutive model is adopted to represent progressively the nonlinear material behavior of composite materials until a material failure is predicted. An anisotropic initial yield criterion is established that includes the effects of different yield strengths in each material direction, and between tension and compression. Anisotropic work-hardening model and subsequent yield surface are developed to describe material behavior beyond the initial yield under the general loading condition. The current model is implemented into a computer code, which is Predictive Analysis for Composite Structures (PACS), and is presented in the companion paper. The accuracy and efficiency of the anisotropic plastic constitutive model are verified by solving a number of various fiber-reinforced composite laminates with and without geometric discontinuity. The comparisons of the numerical results to the experimental and other numerical results available in the literature indicate the validity and efficiency of the developed model.

An orthotropic plastic constitutive model for fiber-reinforced composite material, is developed, which is simple and efficient to be implemented into computer program for a predictive analysis procedure of composite laminates. An orthotropic initial yield criterion, as well as work-hardening model and subsequent yield surface are established that includes the effects of different yield strengths in each material direction, and between tension and compression. The current model is implemented into a computer code, which is Predictive Analysis for Composite Structures (PACS). The accuracy and efficiency of the anisotropic plastic constitutive model and the computer program PACS are verified by solving a number of various fiber-reinforced composite laminates. The comparisons of the numerical results to the experimental and other numerical results available in the literature indicate the validity and efficiency of the developed model.

본 연구는 R-B & HDDR process를 적용해서 Nd-Fe-B계 회토류 이방성 본드자석의 제조를 위한 기초 데이터를 확보할 목적으로. 환원확산법을 사용해서 Nd-Fe-B계 자석합금분말을 제조하는 데 필요한 금속 Ca에 의한 Nd2O3의 환원반응과 Fe-B합금분말중에서의 Nd확산반응을 조사하였다. 그 결과 Nd2O3의 환원시 필요한 최적의 Ca첨가량은 1000˚C에서 1h동안 R-D 반응후 Nd 및 B원소의 수율관계로부터 이론당량의 1.3배정도가 적량인 것으로 나타났다. 또한 Fe-B합금분말중에 Nd의 확산과 관련된 XRD의 분석결과에 따라 완전한 균질화를 위해서는 1100˚C에서 45min정도의 R-D반응이 필요하였으며, R-D반응에 대한 Nd의 수율도 그 조건에서 최대로 얻어졌다. 그리고 수세후의 최종 분말시료중에 잔류하는 Ca 및 O2량을 ICP발광분석 및 산소분석기에 의해 분석한 결과, 각각의 함유량은 0.17 및 0.42wt%정도가 검출되었다

본 연구에서는 이방성 재료로 구성된 파형 관로의 좌굴 거동을 분석하였으며, 좌굴거동에 영향을 미치는 변수로서 파형의 높이와 길이, 암거의 직경과 두께가 고려되었다. 또한 이방성 재료의 특성을 고려하여, 길이방향의 강성과 원주방향의 강성도 함께 좌굴거동에 영향을 미치는 인자로서 고려되었다. 다양한 형상의 파형 관로에 대해 유한요소해석을 수행하여 매개변수연구를 하였으며, 유한요소해석 결과를 바탕으로 이방성 재료로 구성된 파형 관로의 좌굴강도를 추정할 수 있는 간략식을 제안하였다. 해석결과, 파형 관로는 일반적인 평탄한 관로에 비해 우수한 좌굴강도를 보였으며, 제안식 또한 유한요소해석 결과에 근접하는 좌굴강도를 보여주었다.